Search a number
-
+
1044054531312 = 2431314991116187
BaseRepresentation
bin11110011000101100111…
…11111101110011110000
310200210212221210111022220
433030112133331303300
5114101210430000222
62115344304001040
7135300434042562
oct17142637756360
93623787714286
101044054531312
11372865623361
1214a417900180
13775b9353550
14387652c1332
151c259195b5c
hexf3167fdcf0

1044054531312 has 80 divisors (see below), whose sum is σ = 2906553552000. Its totient is φ = 321032952576.

The previous prime is 1044054531209. The next prime is 1044054531323. The reversal of 1044054531312 is 2131354504401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377283 + ... + 1493469.

It is an arithmetic number, because the mean of its divisors is an integer number (36331919400).

Almost surely, 21044054531312 is an apocalyptic number.

1044054531312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044054531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453276776000).

1044054531312 is an abundant number, since it is smaller than the sum of its proper divisors (1862499020688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1044054531312 is a wasteful number, since it uses less digits than its factorization.

1044054531312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117710 (or 1117704 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1044054531312 in words is "one trillion, forty-four billion, fifty-four million, five hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1499 2998 4497 5996 8994 11992 17988 19487 23984 35976 38974 58461 71952 77948 116922 155896 233844 311792 467688 935376 1116187 2232374 3348561 4464748 6697122 8929496 13394244 14510431 17858992 26788488 29020862 43531293 53576976 58041724 87062586 116083448 174125172 232166896 348250344 696500688 1673164313 3346328626 5019492939 6692657252 10038985878 13385314504 20077971756 21751136069 26770629008 40155943512 43502272138 65253408207 80311887024 87004544276 130506816414 174009088552 261013632828 348018177104 522027265656 1044054531312